Description

Book Synopsis
Examines the central question of which Banach spaces $X$ and $Y$ have the property that every bounded operator from $X$ to $Y$ factors through a Hilbert space, in particular when the operators are defined on a Banach lattice, a $C^*$-algebra or the disc algebra and $H^\infty$. This title is suitable for those working in functional analysis.

Table of Contents
Absolutely summing operators and basic applications Factorization through a Hilbert space Type and cotype. Kwapien's theorem The ""abstract"" version of Grothendieck's theorem Grothendieck's theorem Banach spaces satisfying Grothendieck's theorem Applications of the volume ratio method Banach lattices $C^*$-algebras Counterexamples to Grothendieck's conjecture.

PisierFactor Linear Oper Cbms 60 P Expanded Lec

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A Paperback by Gilles Pisier

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    View other formats and editions of PisierFactor Linear Oper Cbms 60 P Expanded Lec by Gilles Pisier

    Publisher: MP-AMM American Mathematical
    Publication Date: 12/30/1986 12:00:00 AM
    ISBN13: 9780821807101, 978-0821807101
    ISBN10: 0821807102
    Also in:
    Calculus and mathematical analysis Topology

    Description

    Book Synopsis
    Examines the central question of which Banach spaces $X$ and $Y$ have the property that every bounded operator from $X$ to $Y$ factors through a Hilbert space, in particular when the operators are defined on a Banach lattice, a $C^*$-algebra or the disc algebra and $H^\infty$. This title is suitable for those working in functional analysis.

    Table of Contents
    Absolutely summing operators and basic applications Factorization through a Hilbert space Type and cotype. Kwapien's theorem The ""abstract"" version of Grothendieck's theorem Grothendieck's theorem Banach spaces satisfying Grothendieck's theorem Applications of the volume ratio method Banach lattices $C^*$-algebras Counterexamples to Grothendieck's conjecture.

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